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Finding the Fourth Proportional to 506.31, 758.97 and 289.44

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Solution

The fourth proportional to 506.31, 758.97 and 289.44 is: 433.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.31 : 758.97 = 289.44 : x
  2. Step 2: Convert to fraction form
    506.31/758.97 = 289.44/x
  3. Step 3: Cross multiply
    506.31x = 758.97 × 289.44
  4. Step 4: Simplify right side
    506.31x = 219,676.28
  5. Step 5: Solve for x
    x = 219,676.28/506.31
  6. Step 6: Final answer
    x = 433.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.